x^(-1/5)=-1/2

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Solution for x^(-1/5)=-1/2 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

x^(-1/5) = -1/2 // + -1/2

x^(-1/5)-(-1/2) = 0

x^(-1/5)+1/2 = 0

1*x^(-1/5) = -1/2 // : 1

x^(-1/5) = -1/2

-1/5 < 0

1/(x^(1/5)) = -1/2 // * x^(1/5)

1 = -1/2*x^(1/5) // : -1/2

-2 = x^(1/5)

x^(1/5) = -2 // ^ 5

x = -32

x = -32

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